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22141332020241 = 3371392366335617
BaseRepresentation
bin1010000100011001011100…
…01110101101110000010001
32220101200122111102212122000
411002030232032231300101
510400230421444121431
6115031330522504213
74443441563621130
oct502145616556021
986350574385560
1022141332020241
1170670a477a535
12259717b365069
13c47bc3376745
145679091d3917
15285e3099c9e6
hex14232e3adc11

22141332020241 has 64 divisors (see below), whose sum is σ = 37760322969600. Its totient is φ = 12560283283968.

The previous prime is 22141332020201. The next prime is 22141332020261. The reversal of 22141332020241 is 14202023314122.

22141332020241 is a `hidden beast` number, since 2 + 2 + 1 + 413 + 3 + 2 + 0 + 2 + 0 + 241 = 666.

It is not a de Polignac number, because 22141332020241 - 210 = 22141332019217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22141332020201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621632865 + ... + 621668481.

It is an arithmetic number, because the mean of its divisors is an integer number (590005046400).

Almost surely, 222141332020241 is an apocalyptic number.

22141332020241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22141332020241 is a deficient number, since it is larger than the sum of its proper divisors (15618990949359).

22141332020241 is a wasteful number, since it uses less digits than its factorization.

22141332020241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59435 (or 59429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22141332020241 its reverse (14202023314122), we get a palindrome (36343355334363).

The spelling of 22141332020241 in words is "twenty-two trillion, one hundred forty-one billion, three hundred thirty-two million, twenty thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 139 189 417 973 1251 2919 3753 8757 23663 26271 35617 70989 106851 165641 212967 249319 320553 496923 638901 747957 961659 1490769 2243871 3289157 4472307 4950763 6731613 9867471 14852289 23024099 29602413 34655341 44556867 69072297 88807239 103966023 133670601 207216891 311898069 621650673 842805071 935694207 2528415213 5899635497 7585245639 17698906491 22755736917 53096719473 117149904869 159290158419 351449714607 820049334083 1054349143821 2460148002249 3163047431463 7380444006747 22141332020241